Question:

Level 3

In the figure, not drawn to scale, ABCD is a trapezium and PQCR is a square. AB//CQ. The size of ∠DCR is^{5}_{4} of ∠DCQ . Find ∠ADC.

In the figure, not drawn to scale, ABCD is a trapezium and PQCR is a square. AB//CQ. The size of ∠DCR is

3 m

Level 3

The figure is not drawn to scale. Triangle ABZ is an isosceles triangle. Triangle XYZ is an equilateral triangle. ∠BZA is^{1}_{5} of ∠YXZ and ∠YZB = ∠XZA.

The figure is not drawn to scale. Triangle ABZ is an isosceles triangle. Triangle XYZ is an equilateral triangle. ∠BZA is

- Find ∠YZB.
- Find ∠XAZ.

4 m

Level 3

The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is^{1}_{2} of ∠x and ∠z is 3 times of ∠y, find

The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is

- ∠z
- ∠w.

4 m

Level 1 PSLE

The pie chart shows how Jenny spent her pocket money last month. What is the ratio of the amount of money Jenny spent on crafts to the amount she spent on books?

The pie chart shows how Jenny spent her pocket money last month. What is the ratio of the amount of money Jenny spent on crafts to the amount she spent on books?

1 m

Level 2 PSLE

Carlo filled a container with water using two taps. He turned on Tap A first and after 4 minutes, he also turned on Tap B. Both taps were turned off at the same time when the container was completely filled without overflowing. The graph shows the amount of water in the container over 16 minutes.

Carlo filled a container with water using two taps. He turned on Tap A first and after 4 minutes, he also turned on Tap B. Both taps were turned off at the same time when the container was completely filled without overflowing. The graph shows the amount of water in the container over 16 minutes.

- What fraction of the container was filled 4 minutes after Tap A was turned on? Express your answer in the simplest form.
- In one minute, how many litres of water flowed from Tap B?

3 m

Level 3

In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find

In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find

- One-third of ∠AFE
- Twice of ∠ECF

4 m

Level 3

Container A and Container B had 43 kg of sugar and 51 kg of sugar respectively. If 3 kg of sugar and 8.5 kg of sugar are added into Container A and Container B every day, how many days later will the sugar in Container A be half as much as the sugar in Container B?

4 m
Container A and Container B had 43 kg of sugar and 51 kg of sugar respectively. If 3 kg of sugar and 8.5 kg of sugar are added into Container A and Container B every day, how many days later will the sugar in Container A be half as much as the sugar in Container B?

Level 3

The ratio of the amount of money that Anna and Yvonne brought along was 4 : 5. For a friend's birthday present, Anna and Yvonne shared the cost in the ratio of 2 : 3. Anna used up^{2}_{5} of her money to pay for her share. After paying for her share, Yvonne had $78 left. How much was the birthday present?

4 m
The ratio of the amount of money that Anna and Yvonne brought along was 4 : 5. For a friend's birthday present, Anna and Yvonne shared the cost in the ratio of 2 : 3. Anna used up

Level 3

This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is^{3}_{7} of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?

This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is

3 m

Level 3

Container W and Container X were filled completely with sugar. The total mass of^{1}_{5} of the sugar in Container W and ^{1}_{11} of the sugar in Container X was 640 g. If ^{4}_{11} of the sugar in Container X was poured out, the total mass of the sugar in both containers became 3.54 kg. How much sugar was in

4 m
Container W and Container X were filled completely with sugar. The total mass of

- Container W?
- Container X?